85901748100 has 243 divisors, whose sum is σ = 223842077487. Its totient is φ = 28530552960.

The previous prime is 85901748013. The next prime is 85901748113. The reversal of 85901748100 is 184710958.

It is a happy number.

The square root of 85901748100 is 293090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 647091844 + 85254656256 = 25438^2 + 291984^2 .

It is a super-2 number, since 2×85901748100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1087363861 + ... + 1087363939.

Almost surely, 2^85901748100 is an apocalyptic number.

85901748100 is the 293090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85901748100

85901748100 is an abundant number, since it is smaller than the sum of its proper divisors (137940329387).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85901748100 is a wasteful number, since it uses less digits than its factorization.

85901748100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 43.

The spelling of 85901748100 in words is "eighty-five billion, nine hundred one million, seven hundred forty-eight thousand, one hundred".